In the following figure, AD is the diameter of the circle with centre O. chords AB, BC and CD are equal. If ∠DEF = 110°, Calculate: ∠AEF
Exercise 17 (B) | Q 2.1 | Page 265
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Join AE, OB and OC ∵ AOD is the diameter, ∴ ∠AED = 90° (Angle in a semi-circle) But ∠DEF = 110° (given) ∴ ∠AEF = ∠DEF - ∠AED = 110° - 90° = 20°
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In the figure, given below, P and Q are the centres of two circles intersecting at B and C ACD is a straight line. Calculate the numerical value of x .
In the given figure, M is the centre of the circle. Chords AB and CD are perpendicular to each other. If ∠MAD = x and ∠BAC = y : express ∠AMD in terms of x.
In the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°.
Calculate : ∠DAB
Also show that the ΔAOD is an equilateral triangle .